Answer:
$301.50
Step-by-step explanation:
Given that:
Stuart brought a sweater on sale for 30% discount off.
Another 25% discount off
Original price = 600
To Find:
What was the final price of a sweater?
Solve:
$600 x 30% = $180
$600 - $180 = $402 (discounted price after 30% off)
$402 x 25% = $100.50
$402-100.50 = $301.50 (discounted price after 25% off & the final price)
Hence, the final price is $301.50
Kavinsky
Samir sold 4 of his old Star Leaper video games at Trading Post Game Shop. Before he left, he spent $23.65 of his earnings on a controller. Samir had $6.35 remaining.
Which equation can you use to find the amount of money, v, Samir received for each video game? Also, can you solve for v?
The equation you can use to find the amount of money, v, Samir received for each video game is;
4v - 23.65 = 6.35 and v = $7.5
Algebraic word problemsSamir sold 4 oh his old star leaper video games.
He spent $23.65 of his earnings on a controller and has $6.35 left.If the amount received for each video game is v, the total cost of the 4 video games is; 4v
He spent $23.65 out of 4v and is left with $6.35Thus, this equation is;
4v - 23.65 = 6.35
Solving this gives;
v = $7.5
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please help! find the area is the parallelogram.
Answer:
24cm^2
Step-by-step explanation:
3cm times 8cm = 24cm^2
Answer:
A=b*h
Step-by-step explanation:
base=5
height=3
5*3=15
15 is the answer
WILL GIVE BRAINIEST IF YOU GET IT RIGHT
Can someone please help me with this
answer must be on a piece of paper so i can upload it
Answer:
3.14 x y =
Step-by-step explanation:
6.88
What is the surface area of the cylinder with height 2 mi and radius 6 mi? Round your answer to the nearest thousandth.
Answer:
301.440 mi²
Step-by-step explanation:
Surface area of a cylinder = 2πrh + 2πr²
Where,
Radius, r = 6 mi
Height, h = 2 mi
Surface area of a cylinder = 2πrh + 2πr²
= (2 * 3.14 * 6 * 2) + (2 * 3.14 * 6²)
= 75.36 + (6.28 * 36)
= 75.36 + 226.08
= 301.44 mi²
To the nearest thousandth
Surface area of a cylinder = 301.440 mi²
The population of a small town in central Florida has shown a linear decline in the years 1987-1997. In 1987 the population was 35600 people. In 1997 it was 27400 people. A) Write a linear equation expressing the population of the town, P, as a function of t, the number of years since 1987. Answer: B) If the town is still experiencing a linear decline, what will the population be in 2000?
If the town is still experiencing a linear decline, the population in the year 2000 will be 24,940 people.
A) To write a linear equation expressing the population of the town, P, as a function of t, the number of years since 1987, we can use the slope-intercept form of a linear equation: P = mt + b. Where P is the population, t is the number of years since 1987, m is the slope, and b is the y-intercept.
Given that the population in 1987 was 35,600 people, we can substitute P = 35,600 and t = 0 into the equation: 35,600 = m(0) + b, 35,600 = b. So the y-intercept, b, is 35,600. Next, we need to find the slope, m. We can use the population in 1997 (t = 10) to calculate the slope: 27,400 = m(10) + 35,600, m(10) = -8,200. m = -820
Therefore, the linear equation expressing the population of the town, P, as a function of t, the number of years since 1987, is: P = -820t + 35,600 B) To find the population in the year 2000 (t = 13), we can substitute t = 13 into the linear equation: P = -820(13) + 35,600. P = -10,660 + 35,600, P = 24,940. Therefore, if the town is still experiencing a linear decline, the population in the year 2000 will be 24,940 people.
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You have a student loan for $12,674. 0. What number is the rate multiplier in the i = prt formula if you have an average credit rating?.
Since you have an average credit rating, the rate multiplier is 7.8%.
Credit scores are three-digit numbers that reveal significant information about your financial history. Credit scores let lenders decide whether or not to extend credit to you.
Credit scores are generated using previous financial habits. This covers your credit account payment history, the credit you use in comparison to total credit available, and the length of your credit history.
If you have no credit history, it will be very difficult to borrow and get the best rates in the future. That is why some credit card companies offer specific credit cards designed for consumers to use briefly in order to develop their credit in the first place.
The average credit rating for student loan approval is 780.
Hence, the rate multiplier is 780/100 = 7.8%
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Answer: 0.0780
Step-by-step explanation:
A student loan is unsecured and with a average credit rating it’d be 7.80 resulting in 0.0780
the probability is 0.4 that a traffic involves an intoxicated or alochol-imparied driver ot nonoccupant. in seven traffic fatalities, find the probability that the number, u, which involve
On solving the provided question we can say that here the probability P(X<3) = 0.7102 and P(X>3) = 0.5801.
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
P(X = 3) = 0.2903
P(X>3) = 0.5801
P(X<3) = 0.7102
mean=2.8
standard deviation=1.2961
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Expand and simplify 2(5x + 3) - 2(2x - 3)
Answer: It is 6x+12
Step-by-step explanation: Distribute 2 to the parenthesis, then do the same at the second parenthesis, 10x+6-4x+6, combine like terms, 10x-4x and +6+6, so 6x+12 is the final result.
find the product:42(100,000)
Answer:
4200000
Step-by-step explanation:
Answer:
4,200,000
Step-by-step explanation:
D
114°
A
в
56°
C
HURRRRRYYY PLEASEEEE
The calculated value of the angle x is 58 degrees
How to calculate the value of xfrom the question, we have the following parameters that can be used in our computation:
The triangle
Using the sum of opposite external angles, we have the following equation
114 = 56 + x
When the like terms are evaluated, we have
x = 114 - 56
Evaluate
x = 58
Hence, the value of x is 58
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The super sub at Sandwich Station consists of 4 different toppings and 3 different condiments. How many different super subs can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from?
Therefore, there are 53,248 different super subs that can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from at Sandwich Station.
The super sub at Sandwich Station consists of 4 different toppings and 3 different condiments. The question is asking how many different super subs can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from.
To solve this problem, we can use the multiplication principle of counting. The multiplication principle states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.
Let's use the multiplication principle to solve this problem. There are four different toppings, and we can choose any of the eight toppings for each of the four spots.
Using the multiplication principle, there are
8 x 8 x 8 x 8 = 4096
ways to choose the toppings. Similarly, there are
6 x 6 x 6 = 216
ways to choose the condiments. Lastly, there are 6 different types of homemade bread to choose from. Using the multiplication principle again, there are
4096 x 216 x 6 = 53,248,
which means there are 53,248 ways to make the super subs.
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Estimate the correlation for this scatterplot.
Answer choices:
A) -0.95
B) 0.95
C) 0.15
D) -0.35
In ΔOPQ, the measure of ∠Q=90°, OP = 7.2 feet, and PQ = 5.5 feet. Find the measure of ∠P to the nearest degree.
Answer:
40
Step-by-step explanation:
DeltaMath
Tyler spent a relaxing afternoon watching movies. He watched movies for 2 1/2 hours. His brother watched the movies for 3/4 of the amount of time that Tyler did. What equation can be used to find out how much time Tyler’s brother spent watching movies?
Answer:
1 3/4
Step-by-step explanation:
Frist he turned the proper fraction into an inproper which came to be 5/2. Then he subtracted 5/2 out of 3/4 Then after that you get 7/4 but then you make it a proper fraction you will get 1 3/4
Answer:
3/4 X 2 1/2
Step-by-step explanation:
HELP ME PLEASE I BEGG YOU
Answer:110.467
Step-by-step explanation:do
please answer with all the steps and you’ll get brainliest
Answer:
x = -1
Step-by-step explanation:
You have:
\(\frac{3}{2x-1} =\frac{1}{x}\)
Multiply both sides by 'x' to get:
\(\frac{3x}{2x-1} =1\)
Multiply both sides by (2x-1) to get:
\(3x=2x-1\)
Subtract 2x on both sides to get:
\(x=-1\)
Applications: Systems of Linear Equations i need help
Answer:
D. h = 4 + t, h = 6 + 0.5tStep-by-step explanation:
According to the question we set the following equations.
A birch tree is growing at the rate of t feet and is initially 4 feet tall:
h = 4 + tA larch tree is growing at the rate of 0.5t feet and is initially 6 feet tall:
h = 6 + 0.5tThe system we got is matching the option D
Which is the expected value of the random variable with given probability distribution ?
Answer:
Step-by-step explanation:
Let X be the RV we are talking about.
Expected value has different aliases, such as weighted average, mean, expectation, first moment and so on.
Okay, how do we calculate the average first, just sum all the values and divide by number of values. It comes from the basic assumption, which is choosing one of them is equally likely. What I mean by that is quite simple, above process what I talked about is just sum of the numbers times their probabilities. e.g. (a+b+c+d)/4 = a/4 + b/4 + c/4 + d/4. In the example, we assumed that probability of choosing any a, b, c and d is equally likely.
Then, why I use the term weighted average is the generalized situation of average, which is some of the numbers are repetitive. For instance, X can take the values a, b, c and d; however, X can take the value a 3 times more than d, X can take the value b 2 times more than d and c and d occurs with the same frequency at X, Therefore, if we take a sample, it is likely to be a, b, a, c, d, a, b or the permutation of this sample. Therefore the weighted average is 3 * a / 7 + 2 * b / 7 + c / 7 + d /7 or using normal average theorem (a + a + a + b + b + c +d) / 7. First, both of them are equal. Find the distribution and multiply the values with the probabilities of the distribution and sum them up or just add them and divide by number of sample. Second, if you check that, a has more weight, which means a can determine the direction of the average more. That is the logic behind the expected value.
Now, if X is a discrete RV (like in the above example), we know what we are going to do. What if X is a continuous RV ? X could take infinite values therefore if you divide a number with an infinite value, the probability of an individual value X could take is going to be 0. Therefore, we cannot calculate the expected value of chosen values individually; however, we can calculate the expected value of an interval by approximating with Riemann Sum or with a better choice, using integrals. Because, technically using Riemann Sum and quantizing the values and approximating the area of the curve is the same as we did above.
In conclusion, basically if X is a discrete RV and the values X could take is countably infinite,
If X is a discrete RV and the values X could take is finite,
if X is a continuous RV,
SHOW THATMOD -2a a+b c+a =4 [a+b] [b+c] [c+a]
a+b -2b b+c
c+a c+b -2c
MOD(-2a a+b c+a) = 4[a+b][b+c][c+a] is an identity that holds true for all values of a, b, and c.
To show that MOD(-2a a+b c+a) = 4[a+b][b+c][c+a], we will simplify the expression
First, let's expand the expression on the left side of the equation:
MOD(-2a a+b c+a) = MOD(-\(2a^2\) - 2ab + ac + aa + bc + ca)
Now, let's simplify the expression further by grouping the terms:
MOD(-\(2a^2\) - 2ab + ac + aa + bc + ca) = MOD(\(a^2\) + 2ab + ac + bc + ca)
Next, let's factor out the common terms from each group:
MOD(\(a^2\) + 2ab + ac + bc + ca) = MOD(a(a + 2b + c) + c(a + b))
Now, let's expand the expression on the right side of the equation:
4[a+b][b+c][c+a] = 4(a + b)(b + c)(c + a)
Expanding further:
4(a + b)(b + c)(c + a) = 4(ab + ac + \(b^2\) + bc + ac + \(c^2\) + ab + bc + \(a^2\))
Simplifying:
4(ab + ac + \(b^2\) + bc + ac +\(c^2\) + ab + bc + \(a^2\)) = 4(\(a^2\) + 2ab + ac + bc + ca)
We can see that the expanded expression on the right side is equal to the expression we obtained earlier for the left side.
Therefore, MOD(-2a a+b c+a) = 4[a+b][b+c][c+a].
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statistical power is a measure of the ability to reject the null hypothesis when:
Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.
A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.
Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.
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If x = t^3 - t and y = Squareroot 3t + 1, then dy/dx at t = 1 is 3/8 1/8 8/3 8 3/4
If x = \(t^3\) - t and y = \(\sqrt{3t + 1}\), then dy/dx is 3/8 at t = 1.
To find dy/dx at t=1, we need to first find dx/dt and dy/dt, and then use the chain rule.
1. Find dx/dt:
x = \(t^3\) - t
Differentiate with respect to t:
dx/dt = \(3t^2\) - 1
2. Find dy/dt:
y = sqrt(3t + 1)
Differentiate with respect to t:
dy/dt = 1/2 * \((3t + 1)^{(-1/2)}\) * 3
dy/dt = 3/(2 * \(\sqrt{(3t + 1)}\))
3. Use the chain rule to find dy/dx:
dy/dx = (dy/dt) / (dx/dt)
4. Plug in the values at t = 1:
dx/dt (t=1) = \(3(1)^2\) - 1 = 2
dy/dt (t=1) = 3/(2 * \(\sqrt{(3(1) + 1)}\)) = 3/4
5. Calculate dy/dx at t = 1:
dy/dx = (3/4) / 2 = 3/8
So, the answer is 3/8.
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7.50x +4.50y = 2,212.5
x+y = 375
Answer:
5x+3y-1475=0
Step-by-step explanation:
if this helps please mark brainliest <3
Use ELIMINATION:
2x - 6y = -54
X + 6y = 63
Consider the function given below: (defun things (x) (if (null x ) '() (if (>(carx) 10) (cons(+(carx) 1) (things (cdrx))) (cons (- (car x) 1) (things (codr x)) ) 1 ) 1 Show the evolution resulting from the following call: USP> (things '(11-2 31))
The evolution of the function call (things '(11 -2 31)) is as follows:
(things '(11 -2 31)) -> (things '(-2 31)) -> (things '(31)) -> (things '()) -> '() the final result of the given call is '().
The given function is a recursive function called "things" that takes a list as input. It checks if the list is empty (null), and if so, it returns an empty list. Otherwise, it checks if the first element of the list (car x) is greater than 10. If it is, it adds 1 to the first element and recursively calls the "things" function on the rest of the list (cdr x). If the first element is not greater than 10, it subtracts 1 from the first element and recursively calls the "things" function on the rest of the list. The function then returns the result.
Now, let's see the evolution resulting from the call (things '(11 -2 31)):
1. (things '(11 -2 31))
Since the list is not empty, we move to the next if statement.
The first element (car x) is 11, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.
The recursive call is (things '(-2 31)).
2. (things '(-2 31))
Again, the list is not empty.
The first element (car x) is -2, which is not greater than 10, so we subtract 1 from it and recursively call the "things" function on the rest of the list.
The recursive call is (things '(31)).
3. (things '(31))
The list is still not empty.
The first element (car x) is 31, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.
The recursive call is (things '()).
4. (things '())
The list is now empty, so the function returns an empty list.
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y varies jointly as x and z. y = 36 when x= 3 and z=3. Find y when x=5 and z=2.y=
Where k is a constant
When y = 36 , x = 3 , z=3
\(\begin{gathered} k\text{ = }\frac{y}{xz} \\ k=\text{ }\frac{36}{3\times3}\text{ =}\frac{36}{9}\text{ = 4} \end{gathered}\)\(\begin{gathered} y\text{ = 4xz} \\ x=\text{ 5 , z = 2} \\ y\text{ = 4 }\times5\times2=40 \end{gathered}\)The value of y is 40
A giraffe can travel 800 feet in 20 seconds. Write a direct variation equation for the distance traveled any time | Please explain / show work
sharla's batting average is 0.583. what would that be in fraction form
Given:
Sharla's batting average is 0.583.
To find:
The fraction form of the Sharla's batting average.
Solution:
It is given that Sharla's batting average is 0.583. So, it can be written as:
\(0.583=0.583\times \dfrac{1000}{1000}\)
\(0.583=\dfrac{583}{1000}\)
This fraction can not be simplified further because there is no common factor of 583 and 1000.
Therefore, the fraction form of the Sharla's batting average is \(\dfrac{583}{1000}\).
2x+5y=20 in slope intercept form
Answer: y=2/5x - 4
Step-by-step explanation:
Find the total amount in the compound interest account. $1510 is compounded daily at a rate of 8% for 7 years. Let 1 year 365 days.
Answer:
120.8
Step-by-step explanation:
1510divide15.10x8%=120.8
Use the following coordinate plane to write the ordered pair for each point .
A (,)
B(,)
C(,)
Answer:
A(-4.5,-3), B(0,2), C(4,1)
Step-by-step explanation:
u just look at their positoions and u go to left side or right side first, then up or down.
left and down are negative.
right and up are positive.